Anyons and quantum groups

Alberto Lerda; Stefano Sciuto

doi:10.1016/0550-3213(93)90316-H

Anyons and quantum groups

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Abstract

Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined à la Schwinger to construct the generators of the quantum group SU(2)_q with q = exp(iπν), where ν is the anyonic statistical parameter.

Lingua originale	Inglese
pagine (da-a)	613-643
Numero di pagine	31
Rivista	Nuclear Physics B
Volume	401
Numero di pubblicazione	3
DOI	https://doi.org/10.1016/0550-3213(93)90316-H
Stato di pubblicazione	Pubblicato - 26 lug 1993
Pubblicato esternamente	Sì

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10.1016/0550-3213(93)90316-H

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abstract = "Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined {\`a} la Schwinger to construct the generators of the quantum group SU(2)q with q = exp(iπν), where ν is the anyonic statistical parameter.",

author = "Alberto Lerda and Stefano Sciuto",

note = "Funding Information: * Work supported in part by Ministero dell{\textquoteright}Universit{\`a} e della Ricerca Scientifica e Tecnologica, and by NSF grant PHY 90-08936. Also at Institute for Theoretical Physics, S.U.N.Y. at Stony Brook, Stony Brook, NY 11794, USA.",

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N1 - Funding Information: * Work supported in part by Ministero dell’Università e della Ricerca Scientifica e Tecnologica, and by NSF grant PHY 90-08936. Also at Institute for Theoretical Physics, S.U.N.Y. at Stony Brook, Stony Brook, NY 11794, USA.

PY - 1993/7/26

Y1 - 1993/7/26

N2 - Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined à la Schwinger to construct the generators of the quantum group SU(2)q with q = exp(iπν), where ν is the anyonic statistical parameter.

AB - Anyonic oscillators with fractional statistics are built on a two-dimensional square lattice by means of a generalized Jordan-Wigner construction, and their deformed commutation relations are thoroughly discussed. Such anyonic oscillators, which are non-local objects that must not be confused with q-oscillators, are then combined à la Schwinger to construct the generators of the quantum group SU(2)q with q = exp(iπν), where ν is the anyonic statistical parameter.

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U2 - 10.1016/0550-3213(93)90316-H

DO - 10.1016/0550-3213(93)90316-H

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EP - 643

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IS - 3

ER -

Anyons and quantum groups

Abstract

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